Is 2801 a prime number? What are the divisors of 2801?

## Is 2801 a prime number?

Yes, 2801 is a prime number.

Indeed, the definition of a prime numbers is to have only two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 2801, the only two divisors are 1 and 2801. Therefore 2801 is a prime number.

As a consequence, 2801 is only a multiple of 1 and 2801.

Since 2801 is a prime number, 2801 is also a deficient number, that is to say 2801 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 2801 without 2801 itself (that is 1, by definition!).

## Parity of 2801

2801 is an odd number, because it is not evenly divisible by 2.

## Is 2801 a perfect square number?

A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 2801 is about 52.924.

Thus, the square root of 2801 is not an integer, and therefore 2801 is not a square number.

Anyway, 2801 is a prime number, and a prime number cannot be a perfect square.

## What is the square number of 2801?

The square of a number (here 2801) is the result of the product of this number (2801) by itself (i.e., 2801 × 2801); the square of 2801 is sometimes called "raising 2801 to the power 2", or "2801 squared".

The square of 2801 is 7 845 601 because 2801 × 2801 = 28012 = 7 845 601.

As a consequence, 2801 is the square root of 7 845 601.

## Number of digits of 2801

2801 is a number with 4 digits.

## What are the multiples of 2801?

The multiples of 2801 are all integers evenly divisible by 2801, that is all numbers such that the remainder of the division by 2801 is zero. There are infinitely many multiples of 2801. The smallest multiples of 2801 are:

• 0: indeed, 0 is divisible by any natural number, and it is thus a multiple of 2801 too, since 0 × 2801 = 0
• 2801: indeed, 2801 is a multiple of itself, since 2801 is evenly divisible by 2801 (we have 2801 / 2801 = 1, so the remainder of this division is indeed zero)
• 5 602: indeed, 5 602 = 2801 × 2
• 8 403: indeed, 8 403 = 2801 × 3
• 11 204: indeed, 11 204 = 2801 × 4
• 14 005: indeed, 14 005 = 2801 × 5
• etc.

## Nearest numbers from 2801

Find out whether some integer is a prime number